What is the Greatest Common Factor of 74477 and 74490?

Greatest common factor (GCF) of 74477 and 74490 is 13.

GCF(74477,74490) = 13

We will now calculate the prime factors of 74477 and 74490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74477 and 74490.

How to find the GCF of 74477 and 74490?

We will first find the prime factorization of 74477 and 74490. After we will calculate the factors of 74477 and 74490 and find the biggest common factor number .

Step-1: Prime Factorization of 74477

Prime factors of 74477 are 13, 17, 337. Prime factorization of 74477 in exponential form is:

74477 = 13¹ × 17¹ × 337¹

Step-2: Prime Factorization of 74490

Prime factors of 74490 are 2, 3, 5, 13, 191. Prime factorization of 74490 in exponential form is:

74490 = 2¹ × 3¹ × 5¹ × 13¹ × 191¹

Step-3: Factors of 74477

List of positive integer factors of 74477 that divides 74477 without a remainder.

1, 13, 17, 221, 337, 4381, 5729

Step-4: Factors of 74490

List of positive integer factors of 74490 that divides 74477 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 191, 195, 382, 390, 573, 955, 1146, 1910, 2483, 2865, 4966, 5730, 7449, 12415, 14898, 24830, 37245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74477 and 74490. The biggest common factor number is the GCF number.
So the greatest common factor 74477 and 74490 is 13.

Also check out the Least Common Multiple of 74477 and 74490